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Finding the Third Proportional to 1,629,770,044.50 and 3,530,291,801.06

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Solution

The third proportional to 1,629,770,044.50 and 3,530,291,801.06 is: 7,647,066,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,770,044.50 : 3,530,291,801.06 = 3,530,291,801.06 : x
  2. Step 2: Convert to fraction form
    1,629,770,044.50/3,530,291,801.06 = 3,530,291,801.06/x
  3. Step 3: Cross multiply
    1,629,770,044.50x = 3,530,291,801.06 × 3,530,291,801.06
  4. Step 4: Simplify right side
    1,629,770,044.50x = 12,462,960,200,649,109,504
  5. Step 5: Solve for x
    x = 12,462,960,200,649,109,504/1,629,770,044.50
  6. Step 6: Final answer
    x = 7,647,066,678.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.